Pith Number

pith:HB7LRS5V

pith:2015:HB7LRS5VTQZTA6VP2FSLED5Y3C

not attested not anchored not stored refs pending

The representation of integers by positive ternary quadratic polynomials

James Ricci, Wai Kiu Chan

arxiv:1505.00281 v1 · 2015-05-01 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HB7LRS5VTQZTA6VP2FSLED5Y3C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:17:10.587912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387eb8cbb59c33307aafd164b20fb8d8805c2c742bba4d04710fc2d69998e1ea

Aliases

arxiv: 1505.00281 · arxiv_version: 1505.00281v1 · doi: 10.48550/arxiv.1505.00281 · pith_short_12: HB7LRS5VTQZT · pith_short_16: HB7LRS5VTQZTA6VP · pith_short_8: HB7LRS5V

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HB7LRS5VTQZTA6VP2FSLED5Y3C \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 387eb8cbb59c33307aafd164b20fb8d8805c2c742bba4d04710fc2d69998e1ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7714f742626435bb5699b1fc0c1551526227ca7512626fefdc4388bf1c4c4d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-01T20:49:36Z",
    "title_canon_sha256": "0385935ac09380c90f8c1736a0d46cfcffc067cf19712886732eb2b643a2e9ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00281",
    "kind": "arxiv",
    "version": 1
  }
}